4536164312064 has 1232 divisors, whose sum is σ = 17281811583360. Its totient is φ = 1155217489920.

The previous prime is 4536164312051. The next prime is 4536164312077. The reversal of 4536164312064 is 4602134616354.

4536164312064 is a `hidden beast` number, since 4 + 5 + 3 + 6 + 1 + 6 + 431 + 206 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4536164312051) and next prime (4536164312077).

It is a tau number, because it is divible by the number of its divisors (1232).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3046449432 + ... + 3046450920.

Almost surely, 2^{4536164312064} is an apocalyptic number.

4536164312064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4536164312064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8640905791680).

4536164312064 is an abundant number, since it is smaller than the sum of its proper divisors (12745647271296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4536164312064 is a wasteful number, since it uses less digits than its factorization.

4536164312064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 4536164312064 in words is "four trillion, five hundred thirty-six billion, one hundred sixty-four million, three hundred twelve thousand, sixty-four".